EXAMPLE 1 Use a formula to find area Find the area of PQRS. SOLUTION Method 1 The base is extended to measure the height RU. So, b = 6 and h = 8. Use PS as the base. Method 2 Use PQ as the base. Then the height is QT. So, b =12 and h = 4. Area = bh =12(4) = 48 square units.
Find the perimeter and area of the polygon. GUIDED PRACTICE for Example 1 Find the perimeter and area of the polygon. 1. SOLUTION A = b h 1 2 P = sum of the sides Write formula. = 21 8 1 2 = 17 + 21+ 10 Substitute. = 48 units. = 84 units2.
GUIDED PRACTICE for Example 1 2. SOLUTION P = 2l + 2b A = b h Write formula. A = b h P = 2(20) + 2(30) Substitute. = 30 17 = 100 units. = 510 units2.
Find the length of the base, use the Pythagorean Theorem GUIDED PRACTICE for Example 1 3. SOLUTION STEP 1 Find the length of the base, use the Pythagorean Theorem c2 = a2 + b2 Use Pythagorean Theorem. 132 = 52 + b2 Substitute. 169 = 25 + b2 Evaluate power. b = 12 Solve for b
Find Perimeter and Area GUIDED PRACTICE for Example 1 STEP 2 Find Perimeter and Area A = b h 2 1 P = sum of the sides Write formula. A = 12 5 2 1 = 5 + 13 + 12 Substitute. = 30 units. = 30 units2.